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A massless rod is suspended by two identical strings \( A B \) and \( C D \) of equal length. A block of mass \( m \) is suspended from
\( \mathrm{P} \) point \( O \) such that \( B O \) is equal to ' \( x \) ' Further, it is observed that the frequency of \( 1^{\text {st }} \) harmonic (fundamental frequency )
W in \( A B \) is equal to \( 2^{\text {nd }} \) harmonic frequency in \( C D \). Then, lengith of \( B O \) is
[IIT-JEE 2006]
(a) \( L / 5 \)
(b) \( 4 L / 5 \)
(c) \( 3 L / 4 \)
(d) \( L / 4 \)
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